More on uniqueness without continuous dependence in infinite dimension (Q1076889)
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scientific article; zbMATH DE number 3955487
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | More on uniqueness without continuous dependence in infinite dimension |
scientific article; zbMATH DE number 3955487 |
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More on uniqueness without continuous dependence in infinite dimension (English)
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1986
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In every given infinite-dimensional normed space, an example is constructed of autonomous ordinary differential equations with continuous right-hand side for which the assertion ''Uniqueness implies continuous dependence on the initial state'' - valid in finite dimension - fails to hold.
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example
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autonomous ordinary differential equations
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continuous dependence
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